CN103558011B - A kind of experimental facilities measuring fibre-optic numerical aperture and attenuation coefficient - Google Patents
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Abstract
The invention provides a kind of experimental facilities measuring fibre-optic numerical aperture and attenuation coefficient, described experimental facilities comprises: light source, focalizer (2), multiple light intensity sensor, collimator (5), shading box (8), half-reflecting half mirror (9), processor (11), angular transducer (12), the first actuating device (16), the second actuating device (17).Described experimental facilities is measured first testing fiber (6) of same configuration, different length and the second testing fiber (14).Described experimental facilities has two kinds of mode of operations, numerical aperture pattern and attenuation coefficient pattern, can switch between two kinds of patterns easily, thus measures numerical aperture and the attenuation coefficient of testing fiber.
Description
Technical field
The present invention relates to parametric measurement field, be specifically related to a kind of experimental facilities for fibre-optic parametric measurement.
Background technology
Along with the develop rapidly of optical communication technique, the application of light transmitting fiber and optical fiber is very universal.Numerical aperture characterizes the light collecting light ability of optical fiber, the loss of attenuation coefficient reaction optical fiber.The determination of Accurate Determining to the evaluation of optical fiber quality and the transmission range of optical fiber telecommunications system of these two parameters plays very important effect.In Experiment of College Physics, due to numerical aperture and the measuring method of attenuation coefficient and the difference of instrument, usually use two cover apparatus measures respectively.Measurement mechanism is various, and step is complicated, and the test duration is long, and instrument and equipment does not have efficiency utilization.
Summary of the invention
The object of the invention is to: provide a kind of experimental facilities, it can complete the numerical aperture of optical fiber and the measurement of attenuation coefficient simultaneously, thus simplifies test process, improves plant factor, saves time.
the measurement of numerical aperture
Numerical aperture (NA) has two kinds of definition modes: one is maximum theoretical numerical aperture, and two is far field intensity effective numerical aperture NA
eff.NA
effbe defined as the sine value that light intensity on optical fiber far-field radiation pattern drops to the half angle at maximal value 5% place.Usual mensuration be far field intensity effective numerical aperture NA
eff, thus the present invention is also intended to measure this effective numerical aperture, effectively can measure numerical aperture by measuring light by the change of light intensity after optical fiber.
the measurement of attenuation coefficient β
In order to measure attenuation coefficient β, be generally the laser beam that same angle is distributed be L respectively by length
1and L
2the identical optical fiber of two root timber material, measure the transmitted light intensity I after two optical fiber respectively
1and I
2, thus obtain:
I
1=I
0(1-R)
2(1-A)
ne
-βL1(1)
I
2=I
0(1-R)
2(1-A)
n’e
-βL2(2)
Wherein, incident intensity is I
0, adopt identical incident intensity for two optical fiber, R is the intensity reflectance of end face, and A is the loss percentage of total reflection, n, n ' and be respectively the total reflection number of times of light in two optical fiber, if L
1and L
2be more or less the same, n ≈ n '.Can select different length such as 80mm and 60mm, 40mm and 30mm, both length can not differ by more than 20mm.When differing by more than 20mm, because the loss percentage A inconvenience of total reflection is measured, comparatively big error will be introduced.
Formula (1)/(2), obtain I1/I2=e-β (L1-L2)=e-β △ L, △ L=L1-L2 is the length difference of two optical fiber, and natural logarithm is got on both sides, obtains the attenuation coefficient β=(lnI of optical fiber
2-lnI
1)/△ L.
In the measurement of numerical aperture, constantly adjustment incident beam is needed to obtain optical fiber far-field radiation pattern in the incident angle of fiber end face.In general prior art, adopt and rotate optical fiber or adopt the mode of rotating light source to adjust the incident angle of incident beam at fiber end face.It requires that incident beam is generally defined as parallel beam under normal circumstances, and to ensure in rotation process, the incident angle of all light of incident beam is identical and the light quantity inciding fiber end face remains unchanged.Otherwise in rotation process, cannot ensure incident light quantity and angle, this can cause the benchmark of light intensity curve figure inconsistent.Whole measuring process needs an optical fiber, and carrying out one-shot measurement can obtain a result.
In the prior art, when measuring attenuation coefficient, do not need the incident angle changing light in incident beam, namely do not need to rotate optical fiber or light source, but need successively to measure two optical fiber respectively.Therefore, need incident ray to converge to together, be irradiated on the end face of optical fiber, identical to ensure each transmitted light intensity.Whole measuring process needs two optical fiber, carries out twice measurement, can be calculated result.
In order to adopt same set of device measuring numerical aperture and attenuation coefficient two kinds of parameters, both communicating a little need be found.Present inventor finds, numerical aperture is last all relevant by the light intensity magnitude after optical fiber to light with attenuation coefficient.Based on this, present inventor devises experimental facilities of the present invention.
Specifically, the present invention proposes a kind of experimental facilities measuring fibre-optic numerical aperture and attenuation coefficient, described experimental facilities comprises: light source, focalizer, multiple light intensity sensor, collimator, shading box, half-reflecting half mirror, processor, angular transducer, the first actuating device, the second actuating device, wherein, described experimental facilities is measured the first testing fiber of same configuration, different length and the second testing fiber
Described light source is used for Emission Lasers bundle;
Described focalizer is assembled described laser beam, and arranges the first light intensity sensor at the near focal point of described focalizer;
First end face of described first testing fiber receives described laser beam and exports described laser beam in the second end of described first testing fiber, arranges the second light intensity sensor in the second end of described first testing fiber;
Described shading box is arranged on the second end of described first testing fiber, and receives the laser beam from described first testing fiber at the light inlet place of described shading box;
Described half-reflecting half mirror is placed in described shading box, the part of the laser beam received from the light inlet of described shading box is reflected and leaves first surface feeding sputtering of described shading box towards described second testing fiber from the first light-emitting window of described shading box, another part transmission of the light beam received from the light inlet of described shading box also leaves described shading box from the second light-emitting window of described shading box;
At the second light exit place of described shading box and the second end of described second testing fiber, the 3rd light intensity sensor and the 4th light intensity sensor are set respectively;
Described first actuating device is connected with described collimator, in the light path that described collimator can be driven to enter or leave between described focalizer and described first testing fiber;
Described second actuating device is connected with described first testing fiber, and the optical axis of the laser sent relative to described light source for driving described first testing fiber rotates;
Described angular transducer measures the optical axis of the laser that described first testing fiber sends relative to described light source and the angle that rotates;
Described processor receives each light intensity sensor and the signal measured by described angular transducer, and processes received signal.
Preferably, the reflection of described half-reflecting half mirror and transmittivity are 50%:50%.
Preferably, described experimental facilities can work in both modes: numerical aperture pattern and attenuation coefficient pattern.
Preferably, under numerical aperture pattern, in the light path that described first actuating device drives described collimator to enter between described focalizer and described first testing fiber, and the laser beam focus that described light source sends by described focalizer is in the first end of described collimator, described laser beam from the second end face outgoing of described collimator, and incides the first end face of described first testing fiber after described collimator collimation.When the light intensity that described 3rd light intensity sensor measures the light beam of the largest light intensity by the light beam of described half-reflecting half mirror institute transmission and the rotation institute transmission along with described first testing fiber drops to 5% of largest light intensity, the angle that described first testing fiber rotates, described processor determines the numerical aperture of described first testing fiber based on described angle.
Preferably, under attenuation coefficient pattern, described first actuating device drives described collimator to leave light path between described focalizer and described first testing fiber, and the laser beam focus that described light source sends by described focalizer is in the first end of described first testing fiber.Described processor determines the attenuation coefficient of described first testing fiber and described second testing fiber based on the length difference of the incident intensity of the first end of described first testing fiber, the output intensity of the second end, the output intensity of the second end of described second testing fiber, described first testing fiber and described both second testing fibers.
LASER Light Source, lens, collimator are combined and are formed optional two kinds of incident beam patterns by the present invention, solve the problem that numerical aperture is different with the incident beam of attenuation coefficient; By adopting half-reflecting half mirror, solving the problem needing two optical fiber in attenuation coefficient, simplifying test process, two kinds of parameter measuring apparatus are more easily merged.
Accompanying drawing explanation
Fig. 1 is the schematic diagram of experimental facilities according to an embodiment of the invention under pattern one state;
Fig. 2 is the schematic diagram of experimental facilities according to an embodiment of the invention under pattern two-state;
Fig. 3 is the partial enlarged view of the testing fiber of two shown in Fig. 2 when measuring attenuation coefficient.
Embodiment
Fig. 1 and Fig. 2 respectively illustrates the operating diagram of one embodiment of the present of invention under numerical aperture pattern and attenuation coefficient pattern.
As shown in Figure 1, the experimental facilities of the present embodiment comprises: light source (illustrate only the light beam 1 that light source sends in Fig. 1), focalizer 2, multiple light intensity sensor 4,7,10 and 14, collimator 5, shading box 8, half-reflecting half mirror 9, processor 11, angular transducer 12, first actuating device 17, second actuating device 16.Diaphragm 3, wire 15 is also show in Fig. 1.It should be appreciated by those skilled in the art that diaphragm 3 is omissible when the focusing effect of focalizer 2 is enough good.
Because the experimental facilities in the present invention will take into account the mensuration to both fiber numerical aperture and attenuation coefficient, therefore, during measurement, adopt two testing fibers (first testing fiber 6 and the second testing fiber 14), the structure of two testing fibers is identical, that is, belong to same fiber, just there is some difference for the two length.
Light source preferably adopts laser instrument, for Emission Lasers bundle.
Focalizer 2 is convex lens, is preferably variable focus convex lens or for can along the movable lens of laser beam axis movement.Focalizer 2, for assembling described laser beam/focus on, arranges a light intensity sensor at the near focal point of described focalizer 2.Mentioned here " near " to refer in the focusing range of laser beam but the position of experiment measuring effect can not be affected.The impact on light intensity of the light intensity sensor adopted in the present invention is enough little, to such an extent as in the computation process of attenuation coefficient and numerical aperture, can think that the impact of light intensity sensor is negligible.Preferably, the present invention adopts transmission-type light intensity sensor.
Preferably, after line focus device focuses on, the focal spot of laser beam equals the internal diameter of fiber end face, thus makes the measured value based on light intensity sensor, can easily obtain the light quantity entering optical fiber.
First end face of the first testing fiber 6 receives the laser beam from focalizer or collimator, arranges the second light intensity sensor 7, measure the laser intensity at this place in the second end of described first testing fiber 6.
Shading box 8 is arranged on the second end of the first testing fiber 6, and the light inlet of shading box 8 aims at the second end face of the first testing fiber 6, for receiving the laser beam from the first testing fiber 6.
Half-reflecting half mirror 9 is placed in shading box 8, carries out part reflection, fractional transmission to the light beam that the light inlet from shading box 8 receives.Specifically, the part entering the light beam of shading box 8 is reflected and is left described shading box from the first light-emitting window of shading box 8, and then towards the first surface feeding sputtering of the second testing fiber 14; The another part of the light beam received from the light inlet of shading box 8 is transmitted through half-reflecting half mirror 9 and leaves shading box 8 from the second light-emitting window of shading box 8.
Respectively arranging a light intensity sensor at the second light exit place of the second end of the second testing fiber 14 and shading box 8, in the present embodiment, is the 3rd light intensity sensor 10 and the 4th light intensity sensor 13.First actuating device 17 is connected with collimator 5 by support bar, in the light path that collimator 5 can be driven to enter or leave between focalizer 2 and the first testing fiber 6.
Second actuating device 16 is connected with described first testing fiber by support bar, and the optical axis of the laser sent relative to light source for driving described first testing fiber 6 rotates.Mentioned herely rotate the rotation, the central shaft of the first testing fiber and the variable angle of this optical axis that refer to along with the first testing fiber relative to laser beam axis.Angular transducer 12 is attached to described second actuating device 16 or the support bar be connected with this actuating device or the first testing fiber, the angle that the optical axis for measuring the laser that described first testing fiber sends relative to described light source rotates.Described processor receives multiple light intensity sensor and the signal measured by angular transducer 12, and obtains corresponding numerical aperture and/or attenuation coefficient.
The experimental facilities of the present embodiment can work in both modes: numerical aperture pattern and attenuation coefficient pattern, will be described with regard to these two kinds of patterns respectively below.
pattern one: numerical aperture pattern
Below in conjunction with Fig. 1, the working method of the experimental facilities of the present embodiment under numerical aperture pattern is described in detail.
Under numerical aperture pattern, in the light path of collimator 5 between focalizer 2 and the first testing fiber 6, preferably, the central axis conllinear of three.This pattern can be the originate mode of this experimental facilities.Or, in order to enter this pattern, in the light path that the first actuating device 17 drives collimator 5 to enter between focalizer 2 and the first testing fiber 6.The effect of collimator 5 is exactly make the light of focalizer outgoing become parallel beam, ensures all or at least major part enters into the incident angle of the incident ray of the first testing fiber is consistent.
As shown in Figure 1, in such a mode, the laser beam 1 that laser instrument produces converges to diaphragm 3 by focalizer 2, and the first light intensity sensor 4 is equipped with in the exit of diaphragm 3, and laser irradiates the first end face entering collimator 5, then from the second end face outgoing of collimator 5.As mentioned above, when the focusing effect of focalizer 2 is enough good, diaphragm 3 is omissible.In this case, laser directly focuses on the light inlet place of collimator 5.
Laser beam from the second end face outgoing of collimator 5, and incides the first end face of the first testing fiber 6 after collimator 5 collimates.No leakage can be carried out be coupled between collimator 5 with the first testing fiber 6, thus ensure that the light quantity entering into testing fiber 6 is equal with the light quantity entering collimator.
Alternatively, the first light intensity sensor 4 can be arranged on the first end of the first testing fiber 6, i.e. light inlet place.Those skilled in the art can as required from Row sum-equal matrix.First light intensity sensor 4 is for measuring the light intensity being about to enter the first testing fiber 6.
The second actuating device 16 is equipped with in the support bar bottom of the first testing fiber 6.First testing fiber 6 or its support bar are attached with angular transducer 12.
Laser beam is by after the first testing fiber 6, enter into shading box 8, half-reflecting half mirror 9 is had in shading box 8, light beam is reflected through a half-reflecting half mirror part 9, and from the first light-emitting window (underside outlet) outgoing of shading box 8, enter into first end face (light inlet) of the second optical fiber 14, another part is transmitted through half-reflecting half mirror 9, from the second light-emitting window outgoing of shading box 8.Second light-emitting window (right-side outlet) place of shading box 8 is provided with the 3rd light intensity sensor 10.Second end face (light-emitting window) of the second optical fiber 14 is provided with the 4th light intensity sensor 13.All the sensors is connected with processor 11 by wire, can carry out signal communication.
In pattern once, light intensity sensor 13 does not work under the control of processor 11.Processor 11 controls actuating device 16 makes the first testing fiber 6 occurred level rotate, the angle value horizontally rotated is sent to processor 11 by angular transducer 12 in real time, the light intensity value of the light beam after being transmitted through half-reflecting half mirror 9 is sent to processor 11 by light intensity sensor 10 in real time, processor 11 obtains corresponding relation or the curve map of angle and light intensity, and determines that light intensity drops to the sine value of the half angle at maximal value 5% place based on this.By the definition of numerical aperture, namely light intensity drops to the sine value of the half angle at maximal value 5% place, can obtain numerical aperture size.
Specifically, the first testing fiber 6 rotates under processor 11 controls, and the incident angle that the parallel beam sent from collimator 5 impinges upon fiber end face constantly changes.Like this after half-reflecting half mirror 9, also can change in real time from the size of the first testing fiber light intensity, the light intensity recorded and angle value are sent to processor 11 by light intensity sensor 10 and angular transducer 12 respectively in real time, and processor obtains the curve of a light intensity and incident angle.In the present embodiment, need to determine: (1) first testing fiber 6 along light beam optical axis place time, the light intensity that light intensity sensor 10 place records, this light intensity is largest light intensity; (2), when the light intensity of laser that light intensity sensor 10 place records equals largest light intensity 5%, the first testing fiber is relative to the angle of laser beam axis.
Initial time, light beam vertically enters testing fiber by collimator, and incident angle is zero degree, and the light intensity that light intensity sensor 10 place records is maximum.Then testing fiber turns clockwise, and incident angle constantly increases, and the light intensity that light intensity sensor 10 place records constantly reduces until when equaling largest light intensity 5%, and namely the corresponding anglec of rotation is the angle for determining numerical aperture.
Then, the numerical aperture NA of the first testing fiber determined by processor based on this angle
eff.
pattern two: attenuation coefficient pattern
The pattern two of the experimental facilities in the present embodiment is used for measuring attenuation coefficient.
As shown in Figure 2, when being in the state of pattern two, processor 11 controls actuating device 17, drives collimator 5 to move down, leaves the light path of laser beam, that is, make itself and focalizer 2 and the first testing fiber 6 not on the same axis.When after the light path that collimator 5 leaves between focalizer and the first testing fiber, actuating device 17 and angular transducer 12 do not work under processor 11 controls.
The laser line focus device 2 that laser instrument sends focuses on first end of rear direct irradiation at the first testing fiber 6, or is radiated at the first end of the first testing fiber 6 after diaphragm 3 pairs of apertures adjust.Laser beam propagate in the first testing fiber 6 after from its second end face outgoing.Still shading box 8 is entered from the laser beam of the first testing fiber 6 outgoing.In shading box 8, by half-reflecting half mirror 9, light splitting is carried out to the light beam entering shading box 8.Fraction of laser light is by the first end face (light inlet) reflected towards the second testing fiber 14, and another part laser, by half-reflecting half mirror 9 transmission, leaves from a light-emitting window of shading box 8, and is radiated on light intensity sensor 10.Enter the light beam of the second testing fiber 14 from its second end face outgoing, and be radiated on the 4th light intensity sensor 13.Light intensity measured is separately transferred in processor by each light intensity sensor.
Fig. 3 is the partial enlarged view of the first testing fiber 6 in Fig. 2, shading box 8, half-reflecting half mirror 9 and the second testing fiber 14, during for illustration of measurement attenuation coefficient, and the change of light intensity.Due to half-reflecting half mirror 9 the ratio of permeable light intensity be known, such as, selected in the present embodiment to be transmittance and reflectance be respectively 50% half-reflecting half mirror.So, in the present embodiment, based on the light intensity that light intensity sensor 7 place records, the light intensity of the light beam entering into the second testing fiber 14 can be known.
As shown in Figure 3, L
1and L
2represent the length of two optical fiber that root timber material is identical, length is different respectively, i.e. the length of the first testing fiber 6 and the second testing fiber 14.Suppose, incident intensity is I
0light beam after the first testing fiber 6, light intensity becomes I
1, then after the half-reflecting half mirror 9 of 50%:50%, the light intensity entering into the second testing fiber 14 becomes 0.5I
1, then light beam from the other end of the second testing fiber 14 out after light intensity become I
2.With reference to above-mentioned formula (1) and (2), namely
I
1=I
0(1-R)
2(1-A)
ne
-βL1
I
2=0.5I
1(1-R)
2(1-A)
n’e
-βL2
By by formula (1)/(2), obtain: I
1/ I
2=2I
0/ I
1e
-β (L1-L2)=2I
0/ I
1e
-β △ L,
△ L=L
1-L
2be the length difference of two optical fiber,
Formula distortion obtains: I
1 2/ 2I
0i
2=e
-β △ L
Natural logarithm is got on both sides, tries to achieve the attenuation coefficient β=(ln(I of optical fiber
1 2/ 2I
0i
2))/△ L.
Light intensity sensor 4,7,13 measures light intensity I respectively
0, I
1, I
2, substitute into above formula and calculate the attenuation coefficient that can draw the first testing fiber and the second testing fiber, the attenuation coefficient of the two is identical.
Experimental facilities of the present invention carries out light splitting by adopting half-reflecting half mirror, adopts collimator to carry out light beam regulation, can switch between two kinds of patterns easily, thus measures numerical aperture and the attenuation coefficient of testing fiber, and equipment is exquisite, easy to use.
It should be noted that, the shape of all parts in accompanying drawing is all schematic, does not get rid of with its true shape that there is some difference, and accompanying drawing 1-3 only for being described principle of the present invention, and is not intended to limit the invention.
It will be appreciated by those skilled in the art that the present invention can with beyond described those herein, the particular form that do not depart from spirit of the present invention and intrinsic propesties performs.Therefore, the above-mentioned embodiment of all aspects should be interpreted as illustrative instead of restrictive.Scope of the present invention should be determined by appended claims and their legal equivalents, instead of is determined by foregoing description, and all fall into appended claims implication and equivalency range within change all will include.
It will be evident to one skilled in the art that, the claim explicitly quoted mutually is not had to combine in the dependent claims, as illustrative embodiments of the present invention, or be included and become new claim by amendment afterwards after submitting the application to.
Mode of the present invention
Various embodiment has been described for execution best mode of the present invention.
Industrial applicability
As apparent according to foregoing description institute, it will be apparent to one skilled in the art that and can make various modifications and variations to the present invention, and do not depart from the spirit or scope of the present invention.Therefore, be intended to the present invention cover fall into appended claims and they equivalent scope within modification and modification.
Claims (7)
1. one kind measures the experimental facilities of fibre-optic numerical aperture and attenuation coefficient, it is characterized in that, described experimental facilities comprises: light source, focalizer (2), multiple light intensity sensor, collimator (5), shading box (8), half-reflecting half mirror (9), processor (11), angular transducer (12), the first actuating device (17), the second actuating device (16), wherein, described experimental facilities is measured first testing fiber (6) of same configuration, different length and the second testing fiber (14)
Described light source is used for Emission Lasers bundle;
Described focalizer (2) is assembled described laser beam, and arranges the first light intensity sensor (4) at the near focal point of described focalizer;
First end face of described first testing fiber (6) receives described laser beam and exports described laser beam in the second end of described first testing fiber (6), arranges the second light intensity sensor (7) in the second end of described first testing fiber (6);
Described shading box (8) is arranged on the second end of described first testing fiber (6), and receives the laser beam from described first testing fiber (6) at the light inlet place of described shading box (8);
Described half-reflecting half mirror (9) is placed in described shading box (8), the part of the laser beam received from the light inlet of described shading box (8) is reflected and leaves first surface feeding sputtering of described shading box towards described second testing fiber (14) from the first light-emitting window of described shading box (8), another part transmission of the light beam received from the light inlet of described shading box (8) also leaves described shading box (8) from the second light-emitting window of described shading box (8);
At the second light exit place of described shading box (8) and the second end of described second testing fiber (14), the 3rd light intensity sensor (10) and the 4th light intensity sensor (13) are set respectively;
Described first actuating device (17) is connected with described collimator (5), in the light path that described collimator (5) can be driven to enter or leave between described focalizer (2) and described first testing fiber (6);
Described second actuating device (16) is connected with described first testing fiber (6), rotates for driving described first testing fiber (6) occurred level;
Described angular transducer (12) measures the optical axis of the laser that described first testing fiber (6) sends relative to described light source and the angle rotated;
Described processor (11) receives each light intensity sensor and the signal measured by described angular transducer (12), and processes received signal.
2. experimental facilities as claimed in claim 1, it is characterized in that, the reflection of described half-reflecting half mirror (9) and transmittivity are 50%:50%.
3. experimental facilities as claimed in claim 1, it is characterized in that, described experimental facilities can work in both modes: numerical aperture pattern and attenuation coefficient pattern.
4. experimental facilities as claimed in claim 3, it is characterized in that, under numerical aperture pattern, in the light path that described first actuating device (17) drives described collimator (5) to enter between described focalizer (2) and described first testing fiber (6), and the laser beam focus that described light source sends by described focalizer (2) is in the first end of described collimator (5), described laser beam after described collimator (5) collimation from the second end face outgoing of described collimator (5), and incide the first end face of described first testing fiber (6).
5. experimental facilities as claimed in claim 4, it is characterized in that, when the light intensity that described 3rd light intensity sensor (10) measures the light beam of the largest light intensity by the light beam of described half-reflecting half mirror (9) institute transmission and the rotation institute transmission along with described first testing fiber (6) drops to 5% of largest light intensity, the angle that described first testing fiber (6) rotates, described processor (11) determines the numerical aperture of described first testing fiber (6) based on described angle.
6. experimental facilities as claimed in claim 3, it is characterized in that, under attenuation coefficient pattern, described first actuating device (17) drives described collimator (5) to leave light path between described focalizer (2) and described first testing fiber (6), and the laser beam focus that described light source sends by described focalizer (2) is in the first end of described first testing fiber (14).
7. experimental facilities as claimed in claim 6, it is characterized in that, described processor (11) determines the attenuation coefficient of described first testing fiber and described second testing fiber based on the length difference of the incident intensity of the first end of described first testing fiber, the output intensity of the second end, the output intensity of the second end of described second testing fiber, described first testing fiber and described both second testing fibers.
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CN106568581A (en) * | 2016-11-15 | 2017-04-19 | 中电科天之星激光技术(上海)有限公司 | Optical fiber numerical aperture measuring method |
CN106802232B (en) * | 2017-03-16 | 2019-04-30 | 北京航空航天大学 | A kind of microcobjective numerical aperture measurement method and system based on total reflection |
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